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Finding the Fourth Proportional to 4,780.58, 7,171.31 and 1,859.10

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Solution

The fourth proportional to 4,780.58, 7,171.31 and 1,859.10 is: 2,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.58 : 7,171.31 = 1,859.10 : x
  2. Step 2: Convert to fraction form
    4,780.58/7,171.31 = 1,859.10/x
  3. Step 3: Cross multiply
    4,780.58x = 7,171.31 × 1,859.10
  4. Step 4: Simplify right side
    4,780.58x = 13,332,173.13
  5. Step 5: Solve for x
    x = 13,332,173.13/4,780.58
  6. Step 6: Final answer
    x = 2,788.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.